The answers to most of problems of [1]} are given by D. Kolodziejczyk in [2]}. In [3]}, answering the question (4) of [1]}: “Is it true that the capacity of every finite polyhedron is finite? ”, Kolodziejczyk showed that there is a polyhedron dominating infinitely many different homotopy types of polyhedra. Kolodziejczyk in [5]}, gave an affirmative answer to question (8) of [1]}: “Is there a compactum with infinite capacity and finite depth?”. Indeed, by a result of Kolodziejczyk, for every non-abelian poly-\(\mathbb {Z}\) -group \(G\)  and an integer \(n\ge 3\) , there exists a polyhedron \(P\)  such that \(\pi _1 (P)\cong G\) , \(\dim P=n\) , \(C(P)\)  is infinite, but \(D(P)\)  is finite. Accordingly, the examples of polyhedra with infinite capacity are even frequent. In [7]}, Kolodziejczyk also proved that every polyhedron with virtually polycyclic fundamental group has finite depth.
